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Two wires A and B are made of materials having Young’s modulus in ratio of 16:15. The length of the two wires is in ratio of 4:5 and radii in ratio of 3:2. What is ratio of external applied force on A and B; so that change in length of the two wires is same?

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From definition of Young’s modulus (Y), the change in length (ΔL) of a wire of original length (L) radius r is

Substituting given values

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